Representing Subgroups of Finitely Presented Groups by Quotient Subgroups

Alexander Hulpke

doi:10.1080/10586458.2001.10504457

ScienceGate Book Chapters

JOURNAL ARTICLE

Representing Subgroups of Finitely Presented Groups by Quotient Subgroups

Alexander Hulpke

Year: 2001 Journal: Experimental Mathematics Vol: 10 (3)Pages: 369-381 Publisher: Taylor & Francis

DOI: 10.1080/10586458.2001.10504457

Get Full-Text PDF Get Analytical Report

Abstract

This article proposes to represent subgroups of finitely presented groups by their image in a quotient. It gives algorithms for basic operations in this representation and investigates how iteration of this approach can be used to extend known quotients groups with a solvable normal subgroup.

Keywords:

Mathematics Quotient Finitely-generated abelian group Normal subgroup Quotient group Pure mathematics Image (mathematics) Representation (politics) Algebra over a field Group (periodic table) Discrete mathematics Combinatorics Cyclic group Artificial intelligence

Metrics

Cited By

0.00

FWCI (Field Weighted Citation Impact)

Refs

0.25

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Citation History

Topics

Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Geometric and Algebraic Topology

Physical Sciences → Mathematics → Geometry and Topology

graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

Representing Subgroups of Finitely Presented Groups by Quotient Subgroups

Abstract

Metrics

Citation History

Topics

Related Documents

Subgroups of Finitely Presented Groups

Subgroups of finitely presented groups

Subgroups of finitely presented metabelian groups

Subgroups of almost finitely presented groups

Free subgroups of finitely presented groups